Performance modeling and tuning of an unstructured mesh CFD application
Proceedings of the 2000 ACM/IEEE conference on Supercomputing
Acceleration of the non-symmetrized two-level iteration
Applied Numerical Mathematics
Parallel restricted maximum likelihood estimation for linear models with a dense exogenous matrix
Parallel Computing - Parallel matrix algorithms and applications
Parallel Flood Modeling Systems
ICCS '02 Proceedings of the International Conference on Computational Science-Part I
ICCS '02 Proceedings of the International Conference on Computational Science-Part II
A Parallel Block Preconditioner Accelerated by Coarse Grid Correction
HPCN Europe 2000 Proceedings of the 8th International Conference on High-Performance Computing and Networking
Parallel Numerical Solution for Flood Modeling Systems
PPAM '01 Proceedings of the th International Conference on Parallel Processing and Applied Mathematics-Revised Papers
Euro-Par '01 Proceedings of the 7th International Euro-Par Conference Manchester on Parallel Processing
Concept of a Problem Solving Environment for Flood Forecasting
Proceedings of the 9th European PVM/MPI Users' Group Meeting on Recent Advances in Parallel Virtual Machine and Message Passing Interface
Domain decomposition preconditioning for parallel PDE software
Engineering computational technology
Sourcebook of parallel computing
Jacobian-free Newton-Krylov methods: a survey of approaches and applications
Journal of Computational Physics
Advances in Engineering Software
Globalized Newton-Krylov-Schwarz Algorithms and Software for Parallel Implicit CFD
International Journal of High Performance Computing Applications
Journal of Computational Physics
On the development of PSBLAS-based parallel two-level Schwarz preconditioners
Applied Numerical Mathematics
On solving complex-symmetric eigenvalue problems arising in the design of axisymmetric VCSEL devices
Applied Numerical Mathematics
On Hybrid Multigrid-Schwarz Algorithms
Journal of Scientific Computing
Journal of Computational Physics
Advances in Engineering Software
Journal of Computational Physics
Journal of Computational Physics
Scalability analysis for a multigrid linear equations solver
PPAM'07 Proceedings of the 7th international conference on Parallel processing and applied mathematics
ACM Transactions on Mathematical Software (TOMS)
Journal of Computational Physics
A Fully Implicit Domain Decomposition Algorithm for Shallow Water Equations on the Cubed-Sphere
SIAM Journal on Scientific Computing
Two-Level Newton and Hybrid Schwarz Preconditioners for Fluid-Structure Interaction
SIAM Journal on Scientific Computing
Scalability studies of an implicit shallow water solver for the Rossby-Haurwitz problem
VECPAR'10 Proceedings of the 9th international conference on High performance computing for computational science
Parallel Two-Grid Semismooth Newton-Krylov-Schwarz Method for Nonlinear Complementarity Problems
Journal of Scientific Computing
SIAM Journal on Scientific Computing
SIAM Journal on Numerical Analysis
Anderson Acceleration for Fixed-Point Iterations
SIAM Journal on Numerical Analysis
A Coarse Space Construction Based on Local Dirichlet-to-Neumann Maps
SIAM Journal on Scientific Computing
Computational Optimization and Applications
Development of a scalable solver for the earth’s core convection
HPCA'09 Proceedings of the Second international conference on High Performance Computing and Applications
Domain decomposition methods for PDE constrained optimization problems
VECPAR'04 Proceedings of the 6th international conference on High Performance Computing for Computational Science
Extending PSBLAS to build parallel schwarz preconditioners
PARA'04 Proceedings of the 7th international conference on Applied Parallel Computing: state of the Art in Scientific Computing
A Fast Treecode for Multiquadric Interpolation with Varying Shape Parameters
SIAM Journal on Scientific Computing
The Optimized Schwarz Method with a Coarse Grid Correction
SIAM Journal on Scientific Computing
Advances in Engineering Software
Performance analysis of parallel Schwarz preconditioners in the LES of turbulent channel flows
Computers & Mathematics with Applications
Scalable domain decomposition preconditioners for heterogeneous elliptic problems
SC '13 Proceedings of the International Conference on High Performance Computing, Networking, Storage and Analysis
HiPCNA-PG '13 Proceedings of the 3rd International Workshop on High Performance Computing, Networking and Analytics for the Power Grid
Multiphysics simulations: Challenges and opportunities
International Journal of High Performance Computing Applications
A parallel Jacobian-free Newton-Krylov solver for a coupled sea ice-ocean model
Journal of Computational Physics
A Parallel Domain Decomposition Method for 3D Unsteady Incompressible Flows at High Reynolds Number
Journal of Scientific Computing
Advances in Engineering Software
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We introduce some cheaper and faster variants of the classical additive Schwarz preconditioner (AS) for general sparse linear systems and show, by numerical examples, that the new methods are superior to AS in terms of both iteration counts and CPU time, as well as the communication cost when implemented on distributed memory computers. This is especially true for harder problems such as indefinite complex linear systems and systems of convection-diffusion equations from three-dimensional compressible flows. Both sequential and parallel results are reported.